395952 has 40 divisors (see below), whose sum is σ = 1046064. Its totient is φ = 129024.

The previous prime is 395921. The next prime is 395953. The reversal of 395952 is 259593.

It is not an unprimeable number, because it can be changed into a prime (395953) by changing a digit.

395952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3448 + ... + 3560.

2³⁹⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523032).

395952 is an abundant number, since it is smaller than the sum of its proper divisors (650112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395952 is a wasteful number, since it uses less digits than its factorization.

395952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 12150, while the sum is 33.

The square root of 395952 is about 629.2471692427. The cubic root of 395952 is about 73.4312374620.

The spelling of 395952 in words is "three hundred ninety-five thousand, nine hundred fifty-two".